The gamma function is defined by

The gamma function is defined by |e-t dt, x > 0 It is known that for integers numbers the function has the value Note that we define O! 1.Thus for example, (1,1), (2,1), (3, 2) (4, 6), (5, 24) can be used as data points for the interpolating polynomial (a) Write a MATLAB script that computes the polynomial interpolant of degree four that (b) Write a program that computes a cubic spline to interpolate the same data (You may use (c) Plot the two interpolants you found on the same graph, along with a plot of the gamma (d) Plot the errors in the two interpolants on the same graph. What are your observations? passes through the above five data points. MATLAB's spline function) function itself, which can be reproduced using the MATLAB command gamma